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math.DG2017
Positive projectively flat manifolds are locally conformally flat-Kähler Hopf manifolds
Simone Calamai
We define a partition of the space of projectively flat metrics in three classes according to the sign of the Chern scalar curvature; we prove that the class of negative projective…
math.DG2017
Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein
Simone Calamai, David Petrecca
In this short note, we prove that a Calabi extremal Kaehler-Ricci soliton on a compact toric Kaehler manifold is Einstein. This solves for the class of toric manifolds a general pr…